456374558025 has 81 divisors (see below), whose sum is σ = 847121786719. Its totient is φ = 234855344640.

The previous prime is 456374558023. The next prime is 456374558027. The reversal of 456374558025 is 520855473654.

The square root of 456374558025 is 675555.

It is a perfect power (a square), and thus also a powerful number.

456374558025 is a `hidden beast` number, since 4 + 5 + 6 + 37 + 4 + 5 + 580 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (456374558023) and next prime (456374558027).

It can be written as a sum of positive squares in 13 ways, for example, as 437118000201 + 19256557824 = 661149^2 + 138768^2 .

It is not a de Polignac number, because 456374558025 - 2¹ = 456374558023 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456374558023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 293865649 + ... + 293867201.

Almost surely, 2^456374558025 is an apocalyptic number.

456374558025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456374558025 is the 675555-th square number.

456374558025 is the 337778-th centered octagonal number.

It is an amenable number.

456374558025 is a deficient number, since it is larger than the sum of its proper divisors (390747228694).

456374558025 is an equidigital number, since it uses as much as digits as its factorization.

456374558025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 456374558025 in words is "four hundred fifty-six billion, three hundred seventy-four million, five hundred fifty-eight thousand, twenty-five".